Teleportation fidelity as a probe of subPlanck phasespace structure
Abstract
We investigate the connection between subPlanck structure in the Wigner function and the output fidelity of continuousvariable teleportation protocols. When the teleporting parties share a twomode squeezed state as an entangled resource, high fidelity in the output state requires a squeezing large enough that the smallest subPlanck structures in an input pure state are teleported faithfully. We formulate this relationship, which leads to an explicit relation between the finescale structure in the Wigner function and largescale extent of the Wigner function, and we treat specific examples, including coherent, number, and random states and states produced by chaotic dynamics. We generalize the purestate results to teleportation of mixed states.
 Publication:

Annals of Physics
 Pub Date:
 November 2008
 DOI:
 10.1016/j.aop.2008.01.007
 arXiv:
 arXiv:0801.1154
 Bibcode:
 2008AnPhy.323.2685S
 Keywords:

 03.65.Ta;
 03.67.Hk;
 42.50.Dv;
 Foundations of quantum mechanics;
 measurement theory;
 Quantum communication;
 Nonclassical states of the electromagnetic field including entangled photon states;
 quantum state engineering and measurements;
 Quantum Physics
 EPrint:
 19 pages, 5 figures